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Dmitriy789 [7]
3 years ago
12

Which of these choices show a pair of equivalent expressions? CHECK ALL THAT APPLY

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

Option C & D

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

Lets say there's an expression x^{\frac{a}{b} } .

It can be also written it as → (\sqrt[b]{x} )^{a} and vice-versa.

<u>__________________________________________________________</u>

Lets come to the question.

  • In option A , 7^{\frac{5}{7} } can be also written as (\sqrt[7]{7} )^{5} . But it doesn't match with the other expression given. Hence they are not equivalent expressions.
  • In option B , 6^{\frac{2}{7} } can be also written as (\sqrt[7]{6} )^{2} . But it doesn't match with the other expression given. Hence they are not equivalent expressions.
  • In option C , 5^{\frac{3}{2} } can be also written as (\sqrt{5} )^{3}. Hence they are equivalent expressions.
  • In option D , (\sqrt[4]{81} )^{5} can be also written as 81^{\frac{5}{4} } . Hence they are equivalent expressions

Thus , Option C & D are correct.

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So
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cylinder is a cylninder
cone is cone

bowl:
area of circle=4/3 pi times r^3
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cylinder=height times pi times radius^2
this cylinder=r times pi times r^2=pi times r^3


cone=1/3 times height times pi times radius^2
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bowl=2/3 pi r^3
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the cylinder is biggest
CYLINDER IS THE ANSWER




2.
sphwere=4/3 times radius^3 times pi
this sphere=4/3 times pi times r^3

cylinder=height times radius^2 time pi
this cylinder=2r times r^2 times pi=2r^3 times pi

cone=1/3 times height time r^2 times pi
this cone=1/3 times 2r times r^2 times pi=1/3 times 2r^3 times pi=2/3 times r^3 times pi

sphere:4/3 pi r^3
cylinder: 2 pi r^3
cone: 2/3 pi r^3
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Answer:#1

if corresponding angles are congruent


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if alternate interior angles are congruent


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